Final answer:
The maximum number of non-zero entries in the term-document matrix is 250,000,000.
Step-by-step explanation:
To find the maximum number of non-zero entries in the term-document matrix, we multiply the number of documents by the number of distinct terms. In this case, the number of documents is 5,000 and the number of distinct terms is 50,000. Therefore, the maximum number of non-zero entries is 5,000 * 50,000 = 250,000,000.